If a² + b² = 100 and a − b = 4, find the value of ab.
Show answer & explanation
Correct answer: C
Explanation
a² + b² = 100
a − b = 4
According to the formula:
(a − b)² = a² + b² − 2ab
(4)² = 100 − 2ab
16 = 100 − 2ab
2ab = 100 − 16
2ab = 84
ab = 42
SSC CPO - 10 Dec 2025 - Shift 1 • Quantitative Aptitude • Q126
If a² + b² = 100 and a − b = 4, find the value of ab.
Correct answer: C
Explanation
a² + b² = 100
a − b = 4
According to the formula:
(a − b)² = a² + b² − 2ab
(4)² = 100 − 2ab
16 = 100 − 2ab
2ab = 100 − 16
2ab = 84
ab = 42